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Nonequilibrium inhomogeneous processes: a nonlinear stochastic description

✍ Scribed by Frank G. Shi


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
195 KB
Volume
183
Category
Article
ISSN
0375-9601

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πŸ“œ SIMILAR VOLUMES


Nonequilibrium inhomogeneous processes.
✍ Frank G. Shi πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 475 KB

It is demonstrated that there is an inconsistency between the master equation and its associated Fokker-Planck equation for the inhomogeneous process whose transition rates depend on the state variable. This inconsistency results from an unjustified assumption adopted since Planck in 19 17. An alter

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The following corrections should be made: -in eq. ( 5.41) the last term A(r/b, t/b') should be replaced by W(r', t'); -in eq. ( 5.42) the variables A should all be replaced by W; -in eq. ( 5.43) the coarse-grained S-function AA should be replaced by do.

Alternative description of stochastic pr
✍ Yu.L. Klimontovich πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 446 KB

An alternative description of stochastic processes in nonlinear systems is considered. It is shown that among the possible forms of the Fokker-Planck and the Langevin equations (Ito, Stratonovich, and kinetic forms) the kinetic form is more natural from the point of view of the statistical theory. A